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Finding the Fourth Proportional to 733.84, 1,098.84 and 586.92

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Solution

The fourth proportional to 733.84, 1,098.84 and 586.92 is: 878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.84 : 1,098.84 = 586.92 : x
  2. Step 2: Convert to fraction form
    733.84/1,098.84 = 586.92/x
  3. Step 3: Cross multiply
    733.84x = 1,098.84 × 586.92
  4. Step 4: Simplify right side
    733.84x = 644,931.17
  5. Step 5: Solve for x
    x = 644,931.17/733.84
  6. Step 6: Final answer
    x = 878.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.